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Finding the Fourth Proportional to 139,848.30, 209,772.45 and 76,862.70

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Solution

The fourth proportional to 139,848.30, 209,772.45 and 76,862.70 is: 115,294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,848.30 : 209,772.45 = 76,862.70 : x
  2. Step 2: Convert to fraction form
    139,848.30/209,772.45 = 76,862.70/x
  3. Step 3: Cross multiply
    139,848.30x = 209,772.45 × 76,862.70
  4. Step 4: Simplify right side
    139,848.30x = 16,123,676,892.62
  5. Step 5: Solve for x
    x = 16,123,676,892.62/139,848.30
  6. Step 6: Final answer
    x = 115,294.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.